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The results varied largely on partisan affiliation. Eighty-four percent of Democrats said they disapproved of the comments, compared with just 11 percent who said they approved. Republicans, by contrast, were almost evenly split with 46 disapproving and 45 percent approving.

Sixty-four percent of independent voters said they disapproved of the comments, compared with 27 percent who said they approved.

The New York Post reported earlier this month that Rove, a Republican strategist and a former adviser in the George W. Bush White House, suggested that Clinton might have brain damage from a blood clot she suffered in 2012.

“Thirty days in the hospital?” Rove reportedly said. “And when she reappears, she’s wearing glasses that are only for people who have traumatic brain injury? We need to know what’s up with that.”

Clinton spent less than a week in the hospital from the blood clot she had while serving as secretary of State. Her team swiftly denounced the comments as deceitful.

Rove has since said that he “never used” the phrase “brain damage,” but the Fox News contributor has largely stood by his comments. He has repeatedly said that Clinton had a “serious health episode” and would have to deal with concerns about her health if she were to run for president in 2016.

The poll also said that 55 percent of respondents support Clinton as a candidate for president compared with 39 percent who would oppose her candidacy.

The poll was conducted May 21-25 with 1,017 on landlines and cellphones. The margin for error is plus or minus 3.5 points.